You may send Abstracts/Papers to be included in the following sesions or propose new sessions including the title and a brief description to the Conference Committee at: secretariat@chaos2009.net

1. Special Session: Fractal Geometry in Biology

The introduction of fundamental concepts and tools of fractal theory in Biosciences has meant a significant progress in the study of complex systems and processes in biomedicine, biophysics, biomathematics, biostatistics, bioinformatics, etc. Specifically, high local variability, shape irregularity, functional and morphological self-similarity, scale invariance, non-integer fractal dimensions, strong-correlations, etc. characterize functional properties and structural features involved in the description of living organisms, cellular activity, cell membranes, human organisms, etc. In this session, the main aim is to provide an overview on recent research in relation to the following topics:

How fractal scaling analysis can be applied to detect brain activity through functional MRI data analysis:

2. Special Session: "Epilepsy and spatio-temporal chaos in the brain"Papers on seizure prediction, seizure control, seizure resetting and hysteresis, and focus localization from real EEG data (recorded from human and/or animal models), as well as biologically plausible mathematical(simulation) models, would be considered for inclusion in the session.Session Chair: Leonidas Jasemidis, Arizona State University Communication at: Leon.Iasemidis@asu.edu

Moscow, Russia (Email: dsonech@mecom.ru ) and Valerio Lucarini, Department of Physics, University of Bologna, Bologna, Italy (Email: lucarini@adgb.df.unibo.it )Papers on climate dynamics including weather forecasting models would be considered for inclusion in the session.1. Paper title: "Order in the Weather Chaos" P.P. Shirshov Oceanology Institute of RussianAcademy of Sciences,

4. Special Session: "Vortex generation and the von Karman vortex streets"Papers on modeling vortex the von Karman vortex streets, application to the control of the vortex street, stability of solutions along with computer simulations would be considered for inclusion in the session.Communication and abstract/paper submission at: secretariat@chaos2009.net

5. Special Session: "Chaotic mixing modeling and simulation"Papers on single- and multi-phase mixing, mixing of complex fluids, suspensions and dispersions, mixing with chemical reaction, mixing and polymerization, mixing and crstallization, laminar and chaotic mixing, mixing through oscillations and pulsations, mixing within fluidic devices, new developments and advances in mixing would be considered for inclusion in the session.

6. Special Session: "Nonlinear dynamics to galaxy evolution"Papers on the theory and simulations of galaxy evolution including applications on chaos in many body systems would be considered for inclusion in the session.

7. Special Session: "Nonlinear dynamics and chaos in ecology"Papers on nonlinear modeling and chaos in ecosystems, 2, 3 and higher dimensional Lotka-Volterra models, nonlinear spatial dynamics, evolution in eco-epidemiological models, would be considered for inclusion in the session.

8. Special Session: "Nonlinear and chaotic behaviour in Economy and Markets"Papers on nonlinear modeling and simulation of economic systems, local and international markets and the stock exchange including the recent economic problems and related oscillations and chaotic behaviour would be considered for inclusion in the session.

Scope and rationaleThis session brings together four lead-authors and several co-authors who have in recent years been advancing chaos-based communication systems. The primary introductory notion of such systems is that chaotic waves replace the conventional sinosoidal waves. This immediately brings the mathematical field of chaos into communication engineering, particularly its less-known statistical aspects. The session will thus be appropriately interdisciplinary and more so by involving two leadauthors from each of the communication and mathematical disciplines through which recent progress has been made. This mixture is beneficial from the point of view of realism of development and the need for accompanying theory to be founded on rigorous probabilistic statistical assumptions and analysis of chaos. Although it has been known quite widely that chaos-based systems offer the potential of high performance and secure systems, see the three recent monographs, Lau et al. (2003), Tam et al. (2007) and Stavroulakis (2006), their development has been hindered by lack of theory based on adaptable assumptions. The first progress with the theory tended to transfer results from conventional systems and inevitably this overlooked the innovative aspects of the chaos involvement. As the area matures, attention is being given to accurately assessing system performance based on its chaotic and structural assumptions, often though the conventional but the always relevant bit error rate. Conventional theory cannot be employed because in chaos-based systems, bit energy is not constant. This has led to some challenging problems in determining system performance. Previous approximations turned out to be inaccurate, prompting the statisticalexact and simulation-exact bit energy theories which will each be presented in the session. The session will start with a short introduction to chaos communication and an opening perspective on the four papers to be presented. Abstracts of the talks follow here, but more briefly, Professor Lawrance will talk about the coherent and non-coherent antipodal chaos shift-keying (CSK) system,examined through discrete-time base-band modelling; he will show how statistical theory can lead to optimum decoders and improvements on correlation decoders, both in single- and multi- user systems. He will illustrate how theoretical development can lead to exact computable bit error rate assessment of correlation and optimal decoders and then to their theoretical lower bounds. Dr Kaddoum will consider the multi-user and coherent chaos-based DS-CDMA system and its correlation and rake decoders, and will focus on the fact that these involve the non-constant bit energy which makes the widely used bit error rate calculations inaccurate for small spreading factors. He will develop both an analytical approach using Raleigh, Nakagami or Rice distribution laws for the bit energy and a simulation approach yielding a bit energy histogram, each of which will be suitably integrated to yield required bit error rate results. This overcomes a long-standing difficulty and misunderstanding about bit energy. Mr Papamarkou will begin by considering a new class of chaotic maps which are aimed at reducing the variability of bit energy in chaos-shift keying, thus moving it towards a conventional system and moving its bit energy near to the theoretical lower bound. He will then take a statistically advanced look at the single-user non-coherent or DCSK system in which additionally a reference signal is transmitted, thus raising some interesting and relevant problems in likelihood decoding. Dr Xu will introduce a promising new chaos-based communication system, called a chaotic cyclic attractor shift-keying (CCASK) system which uses a chaotic cyclic attractor, the aim of which is to eliminate the need for a reference signal. The advantages, present results and further development of this system will be discussed. It can be anticipated that there is likely to be a fruitful interaction between these presentations which should make for an interesting session and future advances. ReferencesLau, F.C.M. and Tse, C.K., Chaos-based Digital Communications Systems. Heidelberg: Springer Verlag, 2003.Stavroulakis, P., Chaos Applications in Telecommunications. New York: CRC Press, 2006.Tam, W.M., Lau, F.C.M. and Tse, C.K., Digital Communications with Chaos. Oxford: Elsevier, 2007.Papers proposed for the SessionPaper 1: Chaos communication: an overview of exact and optimum results using statistical theory A.J.Lawrance, Department of Statistics, University of Warwick, UK Paper 2: Asynchronous chaos-based DS-CDMA over multi-path channels: Analytical bit error rate G. Kaddoum, P. Charge, D. Roviras; D. Fournier-Prunaret IRIT Laboratory, University of Toulouse LATTIS Laboratory, University of Toulouse Paper 3: Two Aspects of Optimum CSK Communication: Spreading and DecodingT. Papamarkou, Department of Statistics, University of Warwick Paper 4:Chaos-based communication utilizing attractor statistic detectionY. Xu, P. Charge & D. Fournier-Prunaret, LATTIS Laboratory, University of Toulouse

13. Special Session: "Chaotic Attractors: New models and chaotic forms"Papers on chaotic attractor formulation including transformation of classical attractors to new forms and application to various fields, would be considered for inclusion in the session.

14. Special Session: "Large fluctuations and Extremes in Complex systems"Papers exploring the large fluctuations phenomenon and extremes in various complex systems would be considered for inclusion in the session.

Scope and rationaleIn Financial Markets usually
price fluctuations are modelled via Gaussian random walks. Especially in
Financial Risk Management financial institutions are bound to Gaussian models
due to regulatory rules and laws. The current Financial Crisis is just another
well known empirical demonstration to use more sophisticated models: Extreme
Value Statistics, truncated Levy Flights, stochastic volatilities etc.
Nevertheless more sophisticated does not mean more accurate. In this special
session we show results of the industry's practices of nonlinear processes that
money and interest rates go and that have a chaotic character along with the
stochastic part by mean of stochastic fluctuations.Communication and abstract/paper submission at: secretariat@chaos2009.net

Scope and rationaleThe objective
of this session is to bring together different theoretical and experimental
approaches for a better understanding of the nonlinear neurodynamics related to
cognitive and autonomic brain functions. This implies elucidating the functionally
relevant interdependencies between the different organisational levels and time
scales of brain dynamics - from ion channels to neurons to networks to system
functions of specific brain nuclei and their interconnections.

At this
session, we intend to present network dynamics of different complexity, realized
with different types of model neurons and couplings, in order to examine the system's
reaction to external stimuli and noise. We want to elucidate the dependence on
networks structure and connectivity, as well as on intrinsic properties of the
individual elements.

Specific
emphasis will be put on the analysis of phase transitions between different
types of oscillatory and chaotic activity, and their impact on the system's
sensitivity, resonances and synchronization. Neuron based models shall be
compared with more general approaches and physical systems to evaluate to which
extent principle characteristics of system's control can be applied to neuronal
dynamics.

The ideas
and results should be of interest to both basic neuroscience and clinical
applications.

Scope and rationaleAs thermo-mechanical, multi-phase systems, Weather processes are characterized by strong non-linearities and scale interactions. These effects limit the range and skill of forecasting at different scales. The Conference will examine scientific as well as implemetational issues involved; the topics of presentation will include, but not limited to:

Papers
exploring
the Modelling of risk assessment from nuclear, environment and manmade sources would be considered for inclusion in the session.

Session Organiser: Papers exploring the Modelling of risk assessment from nuclear, environment and manmade sources would be considered for inclusion in the session.Session Organiser: Prof. Alexander Valyaev

Stochastic models of migration and propagation of chemicals and radionuclides in different media

Migration of impurities under stationary and extremeresponsesfrom natural and manmade sources

Spatial and temporal prediction of ecological and radiation situation. Assessment of levels of confidence for main characterizedcorresponding parameters on examplesfor some real situations

Assessment of dangerous levels fordifferentnatural and manmade objects, including for realization of possible directed terrorism acts, with possible using of explosives,their risk's values,resulted from differentresponseson environment and population.

Development of prevention and softening measures for reducing of harmful impurities'responsesin accordance of impact levels.

Scope and rationaleUnderstanding the underlying geometry of multidimensinal problems provides insight into what is possible and what is not. In an astonishing, but not well known result, the physicist Ehrenfest showed in 1917 that planetary orbits are stable only in space of dimension 3. Higher dimensional planetary systems, if they existed, would have had a short carreer. Another dimensional curiosity is that rotating rigid bodies have an axis of rotation only in odd-integer dimensions. Papers emphasizing the intuitive rather than technical aspects are invited on Chaotic Phenomena, Turbulence, Phenomena in High Dimensions, Plasma, Parity, Relativity and other fields where dimensionality plays a key and interesting role. The goal is to stimulate lively brain-storming in the afterMATH.

Special session devotes to discussing the problem of synergetics approach to social administration. The problem is that modern societies are in period of complex innovative transformations and swiftly submerge into state of unstable equilibrium. In such situations two competing paradigms suffer crisis: self-organizing (market) and controlled ordering in the society. We propose to discuss the conception of innovation of social administration based on idea of dynamical regulation for correlation of part of self-organization and part of administration in social ordering tool (directed social self-organization).

Main presentations 1. Yulia Zubok, Vladimir Chuprov. Risks: Institutional and Self-regulating Management Mechanisms 2. Tatiana A. Kolesnikova (Ph.D), Natalya A. Kolesnikova. The problem of social self-organization of modern risk society: Social invariants attractors 3. Vladimir Beduev. The design and implementation of the fundamentally new system of the professional management of state affairs is a vital need in terms of the global system crisis. 4. V.S. Polikarpov, E.V. Polikarpova. Selforganization and management in development of innovation society 5. V.S. Polikarpov, I.V. Lysiak. The technology of management in everyday life of innovative society 6. Marina Maksimova. Innovations in synergetics of socio-humanitarian processes

23. Special Session:"Information Geometry and Disorder"Scope and rationale

Information geometry is a body of theory that allows smooth families of probability density functions to be represented by Riemannian manifolds. In these spaces the metric structure is a natural distance given by the covariance matrix of the gradient of the log-likelihood function, so it owes its heritage to information theoretic maximum entropy criteria.

In the context of transitions through constrained disorder towards chaotic behaviour, certain smooth families of probability density functions have recurring presence in representing state evolution trajectories: for example, Poisson, exponential and gamma distributions and bivariate cases.Their information geometry turns out to be surprisingly tractable and it provides geometric tools for comparing trajectories and in particular for quantifying progress.

Papers exploring the context of information geometry and its role in representing approaches todisorder would be considered for inclusion in the session.